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Finding the Fourth Proportional to 21,805.75, 32,708.94 and 6,223.42

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Solution

The fourth proportional to 21,805.75, 32,708.94 and 6,223.42 is: 9,335.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,805.75 : 32,708.94 = 6,223.42 : x
  2. Step 2: Convert to fraction form
    21,805.75/32,708.94 = 6,223.42/x
  3. Step 3: Cross multiply
    21,805.75x = 32,708.94 × 6,223.42
  4. Step 4: Simplify right side
    21,805.75x = 203,561,471.37
  5. Step 5: Solve for x
    x = 203,561,471.37/21,805.75
  6. Step 6: Final answer
    x = 9,335.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.